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Finding the Fourth Proportional to 490.98, 736.78 and 382.98

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Solution

The fourth proportional to 490.98, 736.78 and 382.98 is: 574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 736.78 = 382.98 : x
  2. Step 2: Convert to fraction form
    490.98/736.78 = 382.98/x
  3. Step 3: Cross multiply
    490.98x = 736.78 × 382.98
  4. Step 4: Simplify right side
    490.98x = 282,172.00
  5. Step 5: Solve for x
    x = 282,172.00/490.98
  6. Step 6: Final answer
    x = 574.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.